To calculate the area of a circle, you will need to know the radius. The diameter of a circle is a straight line that passes through the center and is equal to twice the radius.
In this case, if the diameter is 23, we can find the radius by dividing the diameter by 2:
Radius = Diameter / 2 = 23 / 2 = 11.5
Now that we have the radius (11.5), we can calculate the area of the circle using the formula:
Area = π * radius^2
Plugging in the values:
Area = 3.14159 * 11.5^2
Area ≈ 415.67 (rounded to two decimal places)
Therefore, the area of the circle with a diameter of 23 is approximately 415.67 square units.